7251903 has 16 divisors (see below), whose sum is σ = 10788960. Its totient is φ = 4814208.

The previous prime is 7251899. The next prime is 7251919. The reversal of 7251903 is 3091527.

7251903 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7251903 - 2² = 7251899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7251973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8701 + ... + 9497.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 2^7251903 is an apocalyptic number.

7251903 is a deficient number, since it is larger than the sum of its proper divisors (3537057).

7251903 is a wasteful number, since it uses less digits than its factorization.

7251903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 7251903 is about 2692.9357586099. The cubic root of 7251903 is about 193.5607645230.

It can be divided in two parts, 725 and 1903, that added together give a triangular number (2628 = T₇₂).

The spelling of 7251903 in words is "seven million, two hundred fifty-one thousand, nine hundred three".