364961 has 2 divisors, whose sum is σ = 364962. Its totient is φ = 364960.

The previous prime is 364943. The next prime is 364979. The reversal of 364961 is 169463.

It is a balanced prime because it is at equal distance from previous prime (364943) and next prime (364979).

It can be written as a sum of positive squares in only one way, i.e., 336400 + 28561 = 580^2 + 169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-364961 is a prime.

It is not a weakly prime, because it can be changed into another prime (364921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182480 + 182481.

It is an arithmetic number, because the mean of its divisors is an integer number (182481).

2³⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

364961 is a deficient number, since it is larger than the sum of its proper divisors (1).

364961 is an equidigital number, since it uses as much as digits as its factorization.

364961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 29.

The square root of 364961 is about 604.1200211878. The cubic root of 364961 is about 71.4631495440.

The spelling of 364961 in words is "three hundred sixty-four thousand, nine hundred sixty-one".