147972305 has 16 divisors (see below), whose sum is σ = 191797200. Its totient is φ = 108945408.

The previous prime is 147972283. The next prime is 147972359. The reversal of 147972305 is 503279741.

It can be written as a sum of positive squares in 8 ways, for example, as 9409 + 147962896 = 97^2 + 12164^2 .

It is not a de Polignac number, because 147972305 - 2²⁰ = 146923729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19721 + ... + 26169.

It is an arithmetic number, because the mean of its divisors is an integer number (11987325).

Almost surely, 2^147972305 is an apocalyptic number.

It is an amenable number.

147972305 is a deficient number, since it is larger than the sum of its proper divisors (43824895).

147972305 is a wasteful number, since it uses less digits than its factorization.

147972305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 147972305 is about 12164.3867498530. The cubic root of 147972305 is about 528.9242509072.

The spelling of 147972305 in words is "one hundred forty-seven million, nine hundred seventy-two thousand, three hundred five".