245632 has 32 divisors (see below), whose sum is σ = 520200. Its totient is φ = 115200.

The previous prime is 245629. The next prime is 245639. The reversal of 245632 is 236542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2¹⁰ + 4 + 6⁴ + 5⁴ + 3¹¹ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245639) 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, 2382 + ... + 2482.

2²⁴⁵⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260100).

245632 is an abundant number, since it is smaller than the sum of its proper divisors (274568).

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

245632 is a wasteful number, since it uses less digits than its factorization.

245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 245632 is about 495.6127520555. The cubic root of 245632 is about 62.6270057379.

The spelling of 245632 in words is "two hundred forty-five thousand, six hundred thirty-two".