5577309 has 32 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 3370752.

The previous prime is 5577301. The next prime is 5577311. The reversal of 5577309 is 9037755.

It is not a de Polignac number, because 5577309 - 2³ = 5577301 is a prime.

It is a super-2 number, since 2×5577309² = 62212751362962, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13102 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^5577309 is an apocalyptic number.

It is an amenable number.

5577309 is a deficient number, since it is larger than the sum of its proper divisors (3494691).

5577309 is a wasteful number, since it uses less digits than its factorization.

5577309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 5577309 is about 2361.6326979444. The cubic root of 5577309 is about 177.3406253087.

It can be divided in two parts, 5577 and 309, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5577309 in words is "five million, five hundred seventy-seven thousand, three hundred nine".