147972313 has 4 divisors (see below), whose sum is σ = 148586548. Its totient is φ = 147358080.

The previous prime is 147972283. The next prime is 147972359. The reversal of 147972313 is 313279741.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313279741 = 8123 ⋅38567.

It can be written as a sum of positive squares in 2 ways, for example, as 71707024 + 76265289 = 8468^2 + 8733^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-147972313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147972613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306756 + ... + 307237.

It is an arithmetic number, because the mean of its divisors is an integer number (37146637).

Almost surely, 2^147972313 is an apocalyptic number.

It is an amenable number.

147972313 is a deficient number, since it is larger than the sum of its proper divisors (614235).

147972313 is an equidigital number, since it uses as much as digits as its factorization.

147972313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614234.

The product of its digits is 31752, while the sum is 37.

The square root of 147972313 is about 12164.3870786818. The cubic root of 147972313 is about 528.9242604391.

The spelling of 147972313 in words is "one hundred forty-seven million, nine hundred seventy-two thousand, three hundred thirteen".