Search a number
BaseRepresentation
bin10010111000010011
310221002010
4102320103
54433311
61354003
7441312
oct227023
9127063
1077331
1153111
1238903
1329277
1420279
1517da6
hex12e13

77331 has 8 divisors (see below), whose sum is σ = 104400. Its totient is φ = 50912.

The previous prime is 77323. The next prime is 77339. The reversal of 77331 is 13377.

It is an interprime number because it is at equal distance from previous prime (77323) and next prime (77339).

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 77331 - 23 = 77323 is a prime.

It is a super-2 number, since 2×773312 = 11960167122, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 5, base 10 and base 11.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 77298 and 77307.

It is not an unprimeable number, because it can be changed into a prime (77339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (13050).

277331 is an apocalyptic number.

77331 is the 149-th nonagonal number.

77331 is a deficient number, since it is larger than the sum of its proper divisors (27069).

77331 is a wasteful number, since it uses less digits than its factorization.

77331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its digits is 441, while the sum is 21.

The square root of 77331 is about 278.0845195260. The cubic root of 77331 is about 42.6040816914.

The spelling of 77331 in words is "seventy-seven thousand, three hundred thirty-one".

Divisors: 1 3 149 173 447 519 25777 77331