202749121 has 9 divisors (see below), whose sum is σ = 210410083. Its totient is φ = 195359080.

The previous prime is 202749119. The next prime is 202749149. The reversal of 202749121 is 121947202.

The square root of 202749121 is 14239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106316721 + 96432400 = 10311^2 + 9820^2 .

It is not a de Polignac number, because 202749121 - 2¹ = 202749119 is a prime.

It is a super-2 number, since 2×202749121² = 82214412132545282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202749121.

It is not an unprimeable number, because it can be changed into a prime (202749181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 412686 + ... + 413176.

Almost surely, 2^202749121 is an apocalyptic number.

202749121 is the 14239-th square number.

202749121 is the 7120-th centered octagonal number.

It is an amenable number.

202749121 is a deficient number, since it is larger than the sum of its proper divisors (7660962).

202749121 is an frugal number, since it uses more digits than its factorization.

202749121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 202749121 is about 587.4708563180.

The spelling of 202749121 in words is "two hundred two million, seven hundred forty-nine thousand, one hundred twenty-one".