2617251 has 16 divisors (see below), whose sum is σ = 4295424. Its totient is φ = 1380384.

The previous prime is 2617247. The next prime is 2617253. The reversal of 2617251 is 1527162.

It is not a de Polignac number, because 2617251 - 2² = 2617247 is a prime.

It is an Ulam number.

2617251 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2617253) 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, 4521 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (268464).

2^2617251 is an apocalyptic number.

2617251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2617251 is a deficient number, since it is larger than the sum of its proper divisors (1678173).

2617251 is a wasteful number, since it uses less digits than its factorization.

2617251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610.

The product of its digits is 840, while the sum is 24.

The square root of 2617251 is about 1617.7920138263. The cubic root of 2617251 is about 137.8103359629.

It can be divided in two parts, 261725 and 1, that added together give a triangular number (261726 = T₇₂₃).

The spelling of 2617251 in words is "two million, six hundred seventeen thousand, two hundred fifty-one".