4133997 has 40 divisors (see below), whose sum is σ = 7387776. Its totient is φ = 2252448.

The previous prime is 4133971. The next prime is 4134023. The reversal of 4133997 is 7993314.

It is an interprime number because it is at equal distance from previous prime (4133971) and next prime (4134023).

It is not a de Polignac number, because 4133997 - 2⁶ = 4133933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12883 + ... + 13199.

Almost surely, 2^4133997 is an apocalyptic number.

It is an amenable number.

4133997 is a deficient number, since it is larger than the sum of its proper divisors (3253779).

4133997 is a wasteful number, since it uses less digits than its factorization.

4133997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 4133997 is about 2033.2233030339. The cubic root of 4133997 is about 160.4932305643.

The spelling of 4133997 in words is "four million, one hundred thirty-three thousand, nine hundred ninety-seven".