972505133 has 2 divisors, whose sum is σ = 972505134. Its totient is φ = 972505132.

The previous prime is 972505129. The next prime is 972505211. The reversal of 972505133 is 331505279.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 723717604 + 248787529 = 26902^2 + 15773^2 .

It is a cyclic number.

It is not a de Polignac number, because 972505133 - 2² = 972505129 is a prime.

It is a super-2 number, since 2×972505133² = 1891532467422695378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972505093 and 972505102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972505033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486252566 + 486252567.

It is an arithmetic number, because the mean of its divisors is an integer number (486252567).

Almost surely, 2^972505133 is an apocalyptic number.

It is an amenable number.

972505133 is a deficient number, since it is larger than the sum of its proper divisors (1).

972505133 is an equidigital number, since it uses as much as digits as its factorization.

972505133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 972505133 is about 31185.0145582778. The cubic root of 972505133 is about 990.7497408794.

The spelling of 972505133 in words is "nine hundred seventy-two million, five hundred five thousand, one hundred thirty-three".