86735 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 59040.

The previous prime is 86729. The next prime is 86743. The reversal of 86735 is 53768.

86735 = 28² + 29² + ... + 65².

It is not a de Polignac number, because 86735 - 2⁴ = 86719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86698 and 86707.

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, 1004 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁶⁷³⁵ is an apocalyptic number.

86735 is a deficient number, since it is larger than the sum of its proper divisors (34225).

86735 is a wasteful number, since it uses less digits than its factorization.

86735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its digits is 5040, while the sum is 29.

The square root of 86735 is about 294.5080644057. The cubic root of 86735 is about 44.2654408964.

It can be divided in two parts, 8673 and 5, that multiplied together give a triangular number (43365 = T₂₉₄).

The spelling of 86735 in words is "eighty-six thousand, seven hundred thirty-five".