84632 has 16 divisors (see below), whose sum is σ = 162000. Its totient is φ = 41440.

The previous prime is 84631. The next prime is 84649. The reversal of 84632 is 23648.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84598 and 84607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2⁸⁴⁶³² is an apocalyptic number.

It is an amenable number.

84632 is a deficient number, since it is larger than the sum of its proper divisors (77368).

84632 is a wasteful number, since it uses less digits than its factorization.

84632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 84632 is about 290.9157953773. The cubic root of 84632 is about 43.9047526433.

It can be divided in two parts, 846 and 32, that multiplied together give a palindrome (27072).

The spelling of 84632 in words is "eighty-four thousand, six hundred thirty-two".