16791957 has 72 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 8467200.

The previous prime is 16791949. The next prime is 16791959. The reversal of 16791957 is 75919761.

It can be written as a sum of positive squares in 4 ways, for example, as 3896676 + 12895281 = 1974^2 + 3591^2 .

It is not a de Polignac number, because 16791957 - 2³ = 16791949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16791959) 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, 166207 + ... + 166307.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 2^16791957 is an apocalyptic number.

It is an amenable number.

16791957 is a deficient number, since it is larger than the sum of its proper divisors (14952483).

16791957 is a wasteful number, since it uses less digits than its factorization.

16791957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 16791957 is about 4097.7990433890. The cubic root of 16791957 is about 256.0749546550.

The spelling of 16791957 in words is "sixteen million, seven hundred ninety-one thousand, nine hundred fifty-seven".