213485967 has 18 divisors (see below), whose sum is σ = 316946448. Its totient is φ = 138469392.

The previous prime is 213485963. The next prime is 213485969. The reversal of 213485967 is 769584312.

213485967 is a `hidden beast` number, since 2 + 13 + 48 + 596 + 7 = 666.

It is not a de Polignac number, because 213485967 - 2² = 213485963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213485963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3658 + ... + 20984.

It is an arithmetic number, because the mean of its divisors is an integer number (17608136).

Almost surely, 2^213485967 is an apocalyptic number.

213485967 is a deficient number, since it is larger than the sum of its proper divisors (103460481).

213485967 is a wasteful number, since it uses less digits than its factorization.

213485967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407 (or 17367 counting only the distinct ones).

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

The square root of 213485967 is about 14611.1589889372. The cubic root of 213485967 is about 597.6631016603.

The spelling of 213485967 in words is "two hundred thirteen million, four hundred eighty-five thousand, nine hundred sixty-seven".