161953407 has 96 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 77506560.

The previous prime is 161953391. The next prime is 161953409. The reversal of 161953407 is 704359161.

161953407 is a `hidden beast` number, since 1 + 619 + 5 + 34 + 0 + 7 = 666.

It is not a de Polignac number, because 161953407 - 2⁴ = 161953391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161953409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694963 + ... + 695195.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2^161953407 is an apocalyptic number.

161953407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

161953407 is a deficient number, since it is larger than the sum of its proper divisors (153441153).

161953407 is a wasteful number, since it uses less digits than its factorization.

161953407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 161953407 is about 12726.0915838289. The cubic root of 161953407 is about 545.0839104312.

The spelling of 161953407 in words is "one hundred sixty-one million, nine hundred fifty-three thousand, four hundred seven".