4137012 has 72 divisors (see below), whose sum is σ = 11811072. Its totient is φ = 1209600.

The previous prime is 4136999. The next prime is 4137013. The reversal of 4137012 is 2107314.

It is a super-2 number, since 2×4137012² = 34229736576288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12108 + ... + 12444.

Almost surely, 2^4137012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905536).

4137012 is an abundant number, since it is smaller than the sum of its proper divisors (7674060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4137012 is a wasteful number, since it uses less digits than its factorization.

4137012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4137012 is about 2033.9646014619. The cubic root of 4137012 is about 160.5322379706.

The spelling of 4137012 in words is "four million, one hundred thirty-seven thousand, twelve".