123537 has 4 divisors (see below), whose sum is σ = 164720. Its totient is φ = 82356.

The previous prime is 123527. The next prime is 123547. The reversal of 123537 is 735321.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 735321 = 3 ⋅245107.

It is an interprime number because it is at equal distance from previous prime (123527) and next prime (123547).

It is a de Polignac number, because none of the positive numbers 2^k-123537 is a prime.

It is a super-2 number, since 2×123537² = 30522780738, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 2¹³ + 5⁷ + 3⁶ + 3⁹ + 7⁵ .

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123537.

It is not an unprimeable number, because it can be changed into a prime (123517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20587 + ... + 20592.

It is an arithmetic number, because the mean of its divisors is an integer number (41180).

2¹²³⁵³⁷ is an apocalyptic number.

It is an amenable number.

123537 is a deficient number, since it is larger than the sum of its proper divisors (41183).

123537 is an equidigital number, since it uses as much as digits as its factorization.

123537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41182.

The product of its digits is 630, while the sum is 21.

The square root of 123537 is about 351.4783065852. The cubic root of 123537 is about 49.8041673260.

Adding to 123537 its reverse (735321), we get a palindrome (858858).

The spelling of 123537 in words is "one hundred twenty-three thousand, five hundred thirty-seven".