38507961 has 8 divisors (see below), whose sum is σ = 51372640. Its totient is φ = 25657632.

The previous prime is 38507951. The next prime is 38507971. The reversal of 38507961 is 16970583.

It is an interprime number because it is at equal distance from previous prime (38507951) and next prime (38507971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 38507961 - 2⁵ = 38507929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38507951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8430 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (6421580).

Almost surely, 2^38507961 is an apocalyptic number.

It is an amenable number.

38507961 is a deficient number, since it is larger than the sum of its proper divisors (12864679).

38507961 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (38507960) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (7175).

38507961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 38507961 is about 6205.4783054975. The cubic root of 38507961 is about 337.6889433121.

It can be divided in two parts, 3850 and 7961, that added together give a palindrome (11811).

The spelling of 38507961 in words is "thirty-eight million, five hundred seven thousand, nine hundred sixty-one".