972315 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 460800.

The previous prime is 972313. The next prime is 972319. The reversal of 972315 is 513279.

972315 is nontrivially palindromic in base 14.

972315 is a nontrivial binomial coefficient, being equal to C(1395, 2).

It is not a de Polignac number, because 972315 - 2¹ = 972313 is a prime.

972315 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (972313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23695 + ... + 23735.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁹⁷²³¹⁵ is an apocalyptic number.

972315 is the 1394-th triangular number.

972315 is a deficient number, since it is larger than the sum of its proper divisors (914661).

972315 is a wasteful number, since it uses less digits than its factorization.

972315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 972315 is about 986.0603429811. The cubic root of 972315 is about 99.0685170013.

The spelling of 972315 in words is "nine hundred seventy-two thousand, three hundred fifteen".