82654 has 24 divisors (see below), whose sum is σ = 154728. Its totient is φ = 32640.

The previous prime is 82651. The next prime is 82657. The reversal of 82654 is 45628.

It is an interprime number because it is at equal distance from previous prime (82651) and next prime (82657).

Its product of digits (1920) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854 + ... + 4870.

It is an arithmetic number, because the mean of its divisors is an integer number (6447).

2⁸²⁶⁵⁴ is an apocalyptic number.

82654 is a deficient number, since it is larger than the sum of its proper divisors (72074).

82654 is a wasteful number, since it uses less digits than its factorization.

82654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 82654 is about 287.4960869299. The cubic root of 82654 is about 43.5600087808.

It can be divided in two parts, 82 and 654, that multiplied together give a triangular number (53628 = T₃₂₇).

The spelling of 82654 in words is "eighty-two thousand, six hundred fifty-four".