7252837 has 2 divisors, whose sum is σ = 7252838. Its totient is φ = 7252836.

The previous prime is 7252807. The next prime is 7252867. The reversal of 7252837 is 7382527.

It is a balanced prime because it is at equal distance from previous prime (7252807) and next prime (7252867).

It can be written as a sum of positive squares in only one way, i.e., 4800481 + 2452356 = 2191^2 + 1566^2 .

It is an emirp because it is prime and its reverse (7382527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7252837 is a prime.

It is equal to p₄₉₂₆₆₇ and since 7252837 and 492667 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7252807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3626418 + 3626419.

It is an arithmetic number, because the mean of its divisors is an integer number (3626419).

Almost surely, 2^7252837 is an apocalyptic number.

It is an amenable number.

7252837 is a deficient number, since it is larger than the sum of its proper divisors (1).

7252837 is an equidigital number, since it uses as much as digits as its factorization.

7252837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23520, while the sum is 34.

The square root of 7252837 is about 2693.1091697144. The cubic root of 7252837 is about 193.5690739737.

The spelling of 7252837 in words is "seven million, two hundred fifty-two thousand, eight hundred thirty-seven".