953972 has 12 divisors (see below), whose sum is σ = 1767780. Its totient is φ = 448896.

The previous prime is 953969. The next prime is 953977. The reversal of 953972 is 279359.

It can be written as a sum of positive squares in 2 ways, for example, as 320356 + 633616 = 566^2 + 796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6947 + ... + 7082.

It is an arithmetic number, because the mean of its divisors is an integer number (147315).

2⁹⁵³⁹⁷² is an apocalyptic number.

It is an amenable number.

953972 is a deficient number, since it is larger than the sum of its proper divisors (813808).

953972 is a wasteful number, since it uses less digits than its factorization.

953972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14048 counting only the distinct ones).

The product of its digits is 17010, while the sum is 35.

The square root of 953972 is about 976.7149021081. The cubic root of 953972 is about 98.4415725366.

The spelling of 953972 in words is "nine hundred fifty-three thousand, nine hundred seventy-two".