5977152 has 70 divisors (see below), whose sum is σ = 17733518. Its totient is φ = 1990656.

The previous prime is 5977121. The next prime is 5977159. The reversal of 5977152 is 2517795.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 331776 = 2376^2 + 576^2 .

It is a super-2 number, since 2×5977152² = 71452692062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5977159) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4608 + ... + 5760.

Almost surely, 2^5977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866759).

5977152 is an abundant number, since it is smaller than the sum of its proper divisors (11756366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5977152 is a wasteful number, since it uses less digits than its factorization.

5977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 5977152 is about 2444.8214658743. The cubic root of 5977152 is about 181.4811127126.

The spelling of 5977152 in words is "five million, nine hundred seventy-seven thousand, one hundred fifty-two".