165954961 has 2 divisors, whose sum is σ = 165954962. Its totient is φ = 165954960.

The previous prime is 165954941. The next prime is 165954989. The reversal of 165954961 is 169459561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98386561 + 67568400 = 9919^2 + 8220^2 .

It is a cyclic number.

It is not a de Polignac number, because 165954961 - 2⁹ = 165954449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (165954941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82977480 + 82977481.

It is an arithmetic number, because the mean of its divisors is an integer number (82977481).

Almost surely, 2^165954961 is an apocalyptic number.

It is an amenable number.

165954961 is a deficient number, since it is larger than the sum of its proper divisors (1).

165954961 is an equidigital number, since it uses as much as digits as its factorization.

165954961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 291600, while the sum is 46.

The square root of 165954961 is about 12882.3507559762. The cubic root of 165954961 is about 549.5367570460.

The spelling of 165954961 in words is "one hundred sixty-five million, nine hundred fifty-four thousand, nine hundred sixty-one".