305972 has 6 divisors (see below), whose sum is σ = 535458. Its totient is φ = 152984.

The previous prime is 305971. The next prime is 305999. The reversal of 305972 is 279503.

It can be written as a sum of positive squares in only one way, i.e., 206116 + 99856 = 454^2 + 316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38243 + ... + 38250.

It is an arithmetic number, because the mean of its divisors is an integer number (89243).

2³⁰⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

305972 is a deficient number, since it is larger than the sum of its proper divisors (229486).

305972 is a wasteful number, since it uses less digits than its factorization.

305972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76497 (or 76495 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 305972 is about 553.1473583052. The cubic root of 305972 is about 67.3845855794.

The spelling of 305972 in words is "three hundred five thousand, nine hundred seventy-two".