4001029 has 2 divisors, whose sum is σ = 4001030. Its totient is φ = 4001028.

The previous prime is 4001027. The next prime is 4001059. The reversal of 4001029 is 9201004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3992004 + 9025 = 1998^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001029 - 2¹ = 4001027 is a prime.

Together with 4001027, it forms a pair of twin primes.

4001029 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000514 + 2000515.

It is an arithmetic number, because the mean of its divisors is an integer number (2000515).

Almost surely, 2^4001029 is an apocalyptic number.

It is an amenable number.

4001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001029 is an equidigital number, since it uses as much as digits as its factorization.

4001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4001029 is about 2000.2572334577. The cubic root of 4001029 is about 158.7537159938.

The spelling of 4001029 in words is "four million, one thousand, twenty-nine".