126972593 has 16 divisors (see below), whose sum is σ = 142340352. Its totient is φ = 112266000.

The previous prime is 126972583. The next prime is 126972619. The reversal of 126972593 is 395279621.

It is not a de Polignac number, because 126972593 - 2¹⁴ = 126956209 is a prime.

It is a super-2 number, since 2×126972593² = 32244078746287298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126972523) 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, 156158 + ... + 156968.

It is an arithmetic number, because the mean of its divisors is an integer number (8896272).

Almost surely, 2^126972593 is an apocalyptic number.

It is an amenable number.

126972593 is a deficient number, since it is larger than the sum of its proper divisors (15367759).

126972593 is a wasteful number, since it uses less digits than its factorization.

126972593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196.

The product of its digits is 204120, while the sum is 44.

The square root of 126972593 is about 11268.2116149813. The cubic root of 126972593 is about 502.6164089275.

The spelling of 126972593 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, five hundred ninety-three".