364590721 has 32 divisors (see below), whose sum is σ = 439464960. Its totient is φ = 298598400.

The previous prime is 364590719. The next prime is 364590731. The reversal of 364590721 is 127095463.

It is a 2-Lehmer number, since φ(364590721) divides (364590721-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 364590721 - 2¹ = 364590719 is a prime.

It is a deceptive number, since it divides R_364590720.

It is not an unprimeable number, because it can be changed into a prime (364590731) 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, 631585 + ... + 632161.

It is an arithmetic number, because the mean of its divisors is an integer number (13733280).

It is a Poulet number, since it divides 2^364590720-1.

Almost surely, 2^364590721 is an apocalyptic number.

364590721 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

364590721 is a deficient number, since it is larger than the sum of its proper divisors (74874239).

364590721 is a wasteful number, since it uses less digits than its factorization.

364590721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 364590721 is about 19094.2588491934. The cubic root of 364590721 is about 714.3897320955.

The spelling of 364590721 in words is "three hundred sixty-four million, five hundred ninety thousand, seven hundred twenty-one".