345956961 has 32 divisors (see below), whose sum is σ = 554158080. Its totient is φ = 187697664.

The previous prime is 345956957. The next prime is 345956977. The reversal of 345956961 is 169659543.

It is a happy number.

It is not a de Polignac number, because 345956961 - 2² = 345956957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345956961.

It is not an unprimeable number, because it can be changed into a prime (345956911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64561 + ... + 69713.

It is an arithmetic number, because the mean of its divisors is an integer number (17317440).

Almost surely, 2^345956961 is an apocalyptic number.

It is an amenable number.

345956961 is a deficient number, since it is larger than the sum of its proper divisors (208201119).

345956961 is a wasteful number, since it uses less digits than its factorization.

345956961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325.

The product of its digits is 874800, while the sum is 48.

The square root of 345956961 is about 18599.9183062722. The cubic root of 345956961 is about 702.0057852138.

The spelling of 345956961 in words is "three hundred forty-five million, nine hundred fifty-six thousand, nine hundred sixty-one".