616761 has 16 divisors (see below), whose sum is σ = 933120. Its totient is φ = 402480.

The previous prime is 616757. The next prime is 616769. The reversal of 616761 is 167616.

616761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 616761 - 2² = 616757 is a prime.

It is a super-2 number, since 2×616761² = 760788262242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

616761 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 616761.

It is not an unprimeable number, because it can be changed into a prime (616769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

2⁶¹⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

616761 is a deficient number, since it is larger than the sum of its proper divisors (316359).

616761 is a wasteful number, since it uses less digits than its factorization.

616761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 616761 is about 785.3413270674. The cubic root of 616761 is about 85.1214411755.

The spelling of 616761 in words is "six hundred sixteen thousand, seven hundred sixty-one".