37463 has 2 divisors, whose sum is σ = 37464. Its totient is φ = 37462.

The previous prime is 37447. The next prime is 37483. The reversal of 37463 is 36473.

37463 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (36473) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37463 - 2⁴ = 37447 is a prime.

It is equal to p₃₉₆₅ and since 37463 and 3965 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18731 + 18732.

It is an arithmetic number, because the mean of its divisors is an integer number (18732).

2³⁷⁴⁶³ is an apocalyptic number.

37463 is a deficient number, since it is larger than the sum of its proper divisors (1).

37463 is an equidigital number, since it uses as much as digits as its factorization.

37463 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 23.

The square root of 37463 is about 193.5536101446. The cubic root of 37463 is about 33.4606354286.

Subtracting from 37463 its reverse (36473), we obtain a triangular number (990 = T₄₄).

The spelling of 37463 in words is "thirty-seven thousand, four hundred sixty-three".