121684 has 12 divisors (see below), whose sum is σ = 220500. Its totient is φ = 58688.

The previous prime is 121661. The next prime is 121687. The reversal of 121684 is 486121.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 31684 = 300^2 + 178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121687) 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, 409 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2¹²¹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

121684 is a deficient number, since it is larger than the sum of its proper divisors (98816).

121684 is a wasteful number, since it uses less digits than its factorization.

121684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1080 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 121684 is about 348.8323379505. The cubic root of 121684 is about 49.5538983703.

The spelling of 121684 in words is "one hundred twenty-one thousand, six hundred eighty-four".