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77285 = 5132941
BaseRepresentation
bin10010110111100101
310221000102
4102313211
54433120
61353445
7441215
oct226745
9127012
1077285
115307a
1238885
1329240
1420245
1517d75
hex12de5

77285 has 16 divisors (see below), whose sum is σ = 105840. Its totient is φ = 53760.

The previous prime is 77279. The next prime is 77291. The reversal of 77285 is 58277.

It is a Cunningham number, because it is equal to 2782+1.

It is an interprime number because it is at equal distance from previous prime (77279) and next prime (77291).

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 57121 = 142^2 + 239^2 .

It is not a de Polignac number, because 77285 - 24 = 77269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

277285 is an apocalyptic number.

It is an amenable number.

77285 is a deficient number, since it is larger than the sum of its proper divisors (28555).

77285 is a wasteful number, since it uses less digits than its factorization.

77285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 3920, while the sum is 29.

The square root of 77285 is about 278.0017985553. The cubic root of 77285 is about 42.5956323999.

It can be divided in two parts, 77 and 285, that multiplied together give a triangular number (21945 = T209).

The spelling of 77285 in words is "seventy-seven thousand, two hundred eighty-five".

Divisors: 1 5 13 29 41 65 145 205 377 533 1189 1885 2665 5945 15457 77285