4187961 has 18 divisors (see below), whose sum is σ = 6389370. Its totient is φ = 2642976.

The previous prime is 4187957. The next prime is 4187971. The reversal of 4187961 is 1697814.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 207936 = 1995^2 + 456^2 .

It is not a de Polignac number, because 4187961 - 2² = 4187957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4187941) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2605 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (354965).

Almost surely, 2^4187961 is an apocalyptic number.

It is an amenable number.

4187961 is a deficient number, since it is larger than the sum of its proper divisors (2201409).

4187961 is a wasteful number, since it uses less digits than its factorization.

4187961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1311 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 4187961 is about 2046.4508300959. The cubic root of 4187961 is about 161.1885578063.

The spelling of 4187961 in words is "four million, one hundred eighty-seven thousand, nine hundred sixty-one".