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77313 = 325771
BaseRepresentation
bin10010111000000001
310221001110
4102320001
54433223
61353533
7441255
oct227001
9127043
1077313
11530a5
12388a9
1329262
1420265
1517d93
hex12e01

77313 has 4 divisors (see below), whose sum is σ = 103088. Its totient is φ = 51540.

The previous prime is 77291. The next prime is 77317. The reversal of 77313 is 31377.

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, and also an emirpimes, since its reverse is a distinct semiprime: 31377 = 310459.

It is not a de Polignac number, because 77313 - 26 = 77249 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77313.

It is not an unprimeable number, because it can be changed into a prime (77317) 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, 12883 + ... + 12888.

It is an arithmetic number, because the mean of its divisors is an integer number (25772).

It is a Proth number, since it is equal to 151 ⋅ 29 + 1 and 151 < 29.

277313 is an apocalyptic number.

It is an amenable number.

77313 is a deficient number, since it is larger than the sum of its proper divisors (25775).

77313 is a wasteful number, since it uses less digits than its factorization.

77313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25774.

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

The square root of 77313 is about 278.0521533813. The cubic root of 77313 is about 42.6007758460.

The spelling of 77313 in words is "seventy-seven thousand, three hundred thirteen".

Divisors: 1 3 25771 77313