213357096 has 72 divisors (see below), whose sum is σ = 595563930. Its totient is φ = 68952384.

The previous prime is 213357091. The next prime is 213357101. The reversal of 213357096 is 690753312.

213357096 is a `hidden beast` number, since 213 + 357 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (213357091) and next prime (213357101).

It can be written as a sum of positive squares in only one way, i.e., 141276996 + 72080100 = 11886^2 + 8490^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213357096.

It is not an unprimeable number, because it can be changed into a prime (213357091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 753771 + ... + 754053.

Almost surely, 2^213357096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213357096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297781965).

213357096 is an abundant number, since it is smaller than the sum of its proper divisors (382206834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213357096 is a wasteful number, since it uses less digits than its factorization.

213357096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 213357096 is about 14606.7483034384. The cubic root of 213357096 is about 597.5428174938.

The spelling of 213357096 in words is "two hundred thirteen million, three hundred fifty-seven thousand, ninety-six".