77061 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 48320.

The previous prime is 77047. The next prime is 77069. The reversal of 77061 is 16077.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77061 - 2⁵ = 77029 is a prime.

It is a super-3 number, since 3×77061³ = 1372856600333943, which contains 333 as substring.

77061 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2⁷⁷⁰⁶¹ is an apocalyptic number.

It is an amenable number.

77061 is a deficient number, since it is larger than the sum of its proper divisors (31803).

77061 is a wasteful number, since it uses less digits than its factorization.

77061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 77061 is about 277.5986311205. The cubic root of 77061 is about 42.5544400396.

Subtracting from 77061 its product of nonzero digits (294), we obtain a palindrome (76767).

The spelling of 77061 in words is "seventy-seven thousand, sixty-one".