972010 has 16 divisors (see below), whose sum is σ = 1884456. Its totient is φ = 358848.

The previous prime is 972001. The next prime is 972017. The reversal of 972010 is 10279.

It can be written as a sum of positive squares in 4 ways, for example, as 844561 + 127449 = 919^2 + 357^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (972017) by changing a digit.

972010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3609 + ... + 3868.

2⁹⁷²⁰¹⁰ is an apocalyptic number.

972010 is a deficient number, since it is larger than the sum of its proper divisors (912446).

972010 is a wasteful number, since it uses less digits than its factorization.

972010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 972010 is about 985.9056750014. The cubic root of 972010 is about 99.0581571701.

Adding to 972010 its reverse (10279), we get a palindrome (982289).

It can be divided in two parts, 9720 and 10, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 972010 in words is "nine hundred seventy-two thousand, ten".