364056147 has 32 divisors (see below), whose sum is σ = 663810560. Its totient is φ = 192028320.

The previous prime is 364056127. The next prime is 364056149. The reversal of 364056147 is 741650463.

It is a happy number.

364056147 is a `hidden beast` number, since 3 + 640 + 5 + 6 + 1 + 4 + 7 = 666.

It is not a de Polignac number, because 364056147 - 2¹⁶ = 363990611 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (364056149) 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, 71629 + ... + 76542.

It is an arithmetic number, because the mean of its divisors is an integer number (20744080).

Almost surely, 2^364056147 is an apocalyptic number.

364056147 is a deficient number, since it is larger than the sum of its proper divisors (299754413).

364056147 is a wasteful number, since it uses less digits than its factorization.

364056147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148200 (or 148194 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 364056147 is about 19080.2554228186. The cubic root of 364056147 is about 714.0404079949.

The spelling of 364056147 in words is "three hundred sixty-four million, fifty-six thousand, one hundred forty-seven".