34001253 has 48 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 18345600.

The previous prime is 34001251. The next prime is 34001263. The reversal of 34001253 is 35210043.

It is not a de Polignac number, because 34001253 - 2¹ = 34001251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36868 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^34001253 is an apocalyptic number.

34001253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34001253 is a deficient number, since it is larger than the sum of its proper divisors (25752987).

34001253 is a wasteful number, since it uses less digits than its factorization.

34001253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34001253 is about 5831.0593377190. The cubic root of 34001253 is about 323.9651597196.

Adding to 34001253 its reverse (35210043), we get a palindrome (69211296).

The spelling of 34001253 in words is "thirty-four million, one thousand, two hundred fifty-three".