972790 has 32 divisors (see below), whose sum is σ = 2157120. Its totient is φ = 307584.

The previous prime is 972787. The next prime is 972793. The reversal of 972790 is 97279.

972790 = 55² + 56² + ... + 145².

It is an interprime number because it is at equal distance from previous prime (972787) and next prime (972793).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376 + ... + 1444.

It is an arithmetic number, because the mean of its divisors is an integer number (67410).

2⁹⁷²⁷⁹⁰ is an apocalyptic number.

972790 is an abundant number, since it is smaller than the sum of its proper divisors (1184330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972790 is a wasteful number, since it uses less digits than its factorization.

972790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 972790 is about 986.3011710426. The cubic root of 972790 is about 99.0846468511.

The spelling of 972790 in words is "nine hundred seventy-two thousand, seven hundred ninety".