121764 has 24 divisors (see below), whose sum is σ = 290080. Its totient is φ = 39744.

The previous prime is 121763. The next prime is 121787. The reversal of 121764 is 467121.

It is a self number, because there is not a number n which added to its sum of digits gives 121764.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121764.

It is not an unprimeable number, because it can be changed into a prime (121763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807 + ... + 945.

2¹²¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

121764 is an abundant number, since it is smaller than the sum of its proper divisors (168316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121764 is a wasteful number, since it uses less digits than its factorization.

121764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 121764 is about 348.9469873777. The cubic root of 121764 is about 49.5647555727.

Adding to 121764 its reverse (467121), we get a palindrome (588885).

The spelling of 121764 in words is "one hundred twenty-one thousand, seven hundred sixty-four".