33084253 has 16 divisors (see below), whose sum is σ = 35297136. Its totient is φ = 30965760.

The previous prime is 33084229. The next prime is 33084277. The reversal of 33084253 is 35248033.

It is an interprime number because it is at equal distance from previous prime (33084229) and next prime (33084277).

It can be written as a sum of positive squares in 8 ways, for example, as 8054244 + 25030009 = 2838^2 + 5003^2 .

It is a cyclic number.

It is not a de Polignac number, because 33084253 - 2⁵ = 33084221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33084353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171325 + ... + 171517.

It is an arithmetic number, because the mean of its divisors is an integer number (2206071).

Almost surely, 2^33084253 is an apocalyptic number.

It is an amenable number.

33084253 is a deficient number, since it is larger than the sum of its proper divisors (2212883).

33084253 is a wasteful number, since it uses less digits than its factorization.

33084253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 33084253 is about 5751.8912541876. The cubic root of 33084253 is about 321.0261751477.

The spelling of 33084253 in words is "thirty-three million, eighty-four thousand, two hundred fifty-three".