33977241 has 27 divisors (see below), whose sum is σ = 51598911. Its totient is φ = 21543984.

The previous prime is 33977239. The next prime is 33977249. The reversal of 33977241 is 14277933.

The square root of 33977241 is 5829.

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., 17816841 + 16160400 = 4221^2 + 4020^2 .

It is not a de Polignac number, because 33977241 - 2¹ = 33977239 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33977196 and 33977205.

It is not an unprimeable number, because it can be changed into a prime (33977249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 507090 + ... + 507156.

Almost surely, 2^33977241 is an apocalyptic number.

33977241 is the 5829-th square number.

33977241 is the 2915-th centered octagonal number.

It is an amenable number.

33977241 is a deficient number, since it is larger than the sum of its proper divisors (17621670).

33977241 is an equidigital number, since it uses as much as digits as its factorization.

33977241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The cubic root of 33977241 is about 323.8888793607. Note that the first 4 decimals are identical.

Multiplying 33977241 by its sum of digits (36), we get a square (1223180676 = 34974²).

The spelling of 33977241 in words is "thirty-three million, nine hundred seventy-seven thousand, two hundred forty-one".