213649875 has 72 divisors (see below), whose sum is σ = 403734240. Its totient is φ = 108688800.

The previous prime is 213649871. The next prime is 213649883. The reversal of 213649875 is 578946312.

213649875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213649875 - 2² = 213649871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213649875.

It is not an unprimeable number, because it can be changed into a prime (213649871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 594946 + ... + 595304.

It is an arithmetic number, because the mean of its divisors is an integer number (5607420).

Almost surely, 2^213649875 is an apocalyptic number.

213649875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213649875 is a deficient number, since it is larger than the sum of its proper divisors (190084365).

213649875 is a wasteful number, since it uses less digits than its factorization.

213649875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 390 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213649875 is about 14616.7669133773. The cubic root of 213649875 is about 597.8160183524.

The spelling of 213649875 in words is "two hundred thirteen million, six hundred forty-nine thousand, eight hundred seventy-five".