126972584 has 8 divisors (see below), whose sum is σ = 238073610. Its totient is φ = 63486288.

The previous prime is 126972583. The next prime is 126972619. The reversal of 126972584 is 485279621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70392100 + 56580484 = 8390^2 + 7522^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×126972584³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (126972583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7935779 + ... + 7935794.

Almost surely, 2^126972584 is an apocalyptic number.

It is an amenable number.

126972584 is a deficient number, since it is larger than the sum of its proper divisors (111101026).

126972584 is a wasteful number, since it uses less digits than its factorization.

126972584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871579 (or 15871575 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 126972584 is about 11268.2112156278. The cubic root of 126972584 is about 502.6163970521.

The spelling of 126972584 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, five hundred eighty-four".