677633 has 4 divisors (see below), whose sum is σ = 739248. Its totient is φ = 616020.

The previous prime is 677627. The next prime is 677639. The reversal of 677633 is 336776.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (677627) and next prime (677639).

It is a cyclic number.

It is not a de Polignac number, because 677633 - 2¹⁸ = 415489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 677633.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677633.

It is not an unprimeable number, because it can be changed into a prime (677639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30791 + ... + 30812.

It is an arithmetic number, because the mean of its divisors is an integer number (184812).

2⁶⁷⁷⁶³³ is an apocalyptic number.

It is an amenable number.

677633 is a deficient number, since it is larger than the sum of its proper divisors (61615).

677633 is a wasteful number, since it uses less digits than its factorization.

677633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61614.

The product of its digits is 15876, while the sum is 32.

The square root of 677633 is about 823.1846694394. The cubic root of 677633 is about 87.8344425141.

The spelling of 677633 in words is "six hundred seventy-seven thousand, six hundred thirty-three".