362166401 has 2 divisors, whose sum is σ = 362166402. Its totient is φ = 362166400.

The previous prime is 362166383. The next prime is 362166449. The reversal of 362166401 is 104661263.

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., 268173376 + 93993025 = 16376^2 + 9695^2 .

It is a cyclic number.

It is not a de Polignac number, because 362166401 - 2²⁶ = 295057537 is a prime.

It is not a weakly prime, because it can be changed into another prime (362166451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181083200 + 181083201.

It is an arithmetic number, because the mean of its divisors is an integer number (181083201).

Almost surely, 2^362166401 is an apocalyptic number.

It is an amenable number.

362166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

362166401 is an equidigital number, since it uses as much as digits as its factorization.

362166401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 362166401 is about 19030.6700092246. The cubic root of 362166401 is about 712.8027815826.

The spelling of 362166401 in words is "three hundred sixty-two million, one hundred sixty-six thousand, four hundred one".