972407 has 2 divisors, whose sum is σ = 972408. Its totient is φ = 972406.

The previous prime is 972403. The next prime is 972409. The reversal of 972407 is 704279.

It is a strong prime.

It is an emirp because it is prime and its reverse (704279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972407 - 2² = 972403 is a prime.

Together with 972409, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 9³ + 7⁵ + 4⁴ + 2¹⁷ + 0 + 7⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 972407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972407.

It is not a weakly prime, because it can be changed into another prime (972403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486203 + 486204.

It is an arithmetic number, because the mean of its divisors is an integer number (486204).

2⁹⁷²⁴⁰⁷ is an apocalyptic number.

972407 is a deficient number, since it is larger than the sum of its proper divisors (1).

972407 is an equidigital number, since it uses as much as digits as its factorization.

972407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 972407 is about 986.1069921667. The cubic root of 972407 is about 99.0716415086.

The spelling of 972407 in words is "nine hundred seventy-two thousand, four hundred seven".