972351 has 8 divisors (see below), whose sum is σ = 1440560. Its totient is φ = 648216.

The previous prime is 972347. The next prime is 972353. The reversal of 972351 is 153279.

It is not a de Polignac number, because 972351 - 2² = 972347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 36013 = 972351 / (9 + 7 + 2 + 3 + 5 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17980 + ... + 18033.

It is an arithmetic number, because the mean of its divisors is an integer number (180070).

2⁹⁷²³⁵¹ is an apocalyptic number.

972351 is a deficient number, since it is larger than the sum of its proper divisors (468209).

972351 is a wasteful number, since it uses less digits than its factorization.

972351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36022 (or 36016 counting only the distinct ones).

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

The square root of 972351 is about 986.0785972731. The cubic root of 972351 is about 99.0697396581.

The spelling of 972351 in words is "nine hundred seventy-two thousand, three hundred fifty-one".