677961 has 6 divisors (see below), whose sum is σ = 979290. Its totient is φ = 451968.

The previous prime is 677959. The next prime is 677983. The reversal of 677961 is 169776.

It can be written as a sum of positive squares in only one way, i.e., 447561 + 230400 = 669^2 + 480^2 .

It is not a de Polignac number, because 677961 - 2¹ = 677959 is a prime.

It is a super-2 number, since 2×677961² = 919262235042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (677461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37656 + ... + 37673.

It is an arithmetic number, because the mean of its divisors is an integer number (163215).

2⁶⁷⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

677961 is a deficient number, since it is larger than the sum of its proper divisors (301329).

677961 is a wasteful number, since it uses less digits than its factorization.

677961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75335 (or 75332 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 677961 is about 823.3838715933. The cubic root of 677961 is about 87.8486119589.

The spelling of 677961 in words is "six hundred seventy-seven thousand, nine hundred sixty-one".