62536 has 8 divisors (see below), whose sum is σ = 117270. Its totient is φ = 31264.

The previous prime is 62533. The next prime is 62539. The reversal of 62536 is 63526.

It is an interprime number because it is at equal distance from previous prime (62533) and next prime (62539).

It can be written as a sum of positive squares in only one way, i.e., 62500 + 36 = 250^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (62533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3901 + ... + 3916.

2⁶²⁵³⁶ is an apocalyptic number.

It is an amenable number.

62536 is a deficient number, since it is larger than the sum of its proper divisors (54734).

62536 is a wasteful number, since it uses less digits than its factorization.

62536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7819 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 62536 is about 250.0719896350. The cubic root of 62536 is about 39.6926443618.

Subtracting 62536 from its reverse (63526), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 625 and 36, that multiplied together give a square (22500 = 150²).

The spelling of 62536 in words is "sixty-two thousand, five hundred thirty-six".