7977513 has 12 divisors (see below), whose sum is σ = 10806000. Its totient is φ = 5234976.

The previous prime is 7977503. The next prime is 7977517. The reversal of 7977513 is 3157797.

It is a happy number.

It is not a de Polignac number, because 7977513 - 2¹³ = 7969321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7977517) 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 in 11 ways as a sum of consecutive naturals, for example, 15738 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (900500).

Almost surely, 2^7977513 is an apocalyptic number.

7977513 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7977513 is a deficient number, since it is larger than the sum of its proper divisors (2828487).

7977513 is an equidigital number, since it uses as much as digits as its factorization.

7977513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 575 counting only the distinct ones).

The product of its digits is 46305, while the sum is 39.

The square root of 7977513 is about 2824.4491498344. The cubic root of 7977513 is about 199.8124324805.

The spelling of 7977513 in words is "seven million, nine hundred seventy-seven thousand, five hundred thirteen".